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Numerické optimalizační metody
Lukšan, Ladislav
2024 - Czech
Tato zpráva popisuje teoretické i praktické vlastnosti numerických metod pro nepodmíněnou optimalizaci. Studují se metody pro obecné i speciální optimalizační úlohy, mezi které patří minimalizace součtu čtverců, součtu absolutních hodnot, maximní hodnoty a dalších nehladkých funkcí. Kromě metod pro standardní úlohy středních rozměrů jsou studovány i metody pro rozsáhlé řídké a strukturované úlohy. Velká pozornost je věnována soustavám nelineárních rovnic.\n
Keywords:
Numerická optimalizace; nelineární aproximace; systémy nelineárních rovnic; algoritmy
Available on request at various institutes of the ASCR
Numerické optimalizační metody
Tato zpráva popisuje teoretické i praktické vlastnosti numerických metod pro nepodmíněnou optimalizaci. Studují se metody pro obecné i speciální optimalizační úlohy, mezi které patří minimalizace ...
Souhrnná zpráva projektu LINE za rok 2023
Brabec, Marek; Juruš, Pavel; Malý, Marek; Pelikán, Emil; Šrotýř, M.; Turčičová, Marie
2023 - Czech
Tato zpráva byla vytvořena řešitelským týmem Ústavu informatiky AV ČR, v.v.i. v Praze pro potřeby společnosti GasNet, s.r.o. na základě objednávky č. 4500028548. Ve zprávě jsou shrnuty výsledky činností prováděných v roce 2023. Je popsán proces zpracování vstupních dat a jsou řešeny úlohy detekce odlehlých pozorování spotřeby, analýzy bilančních rozdílů a charakterizace vývoje spotřeby plynu v prostoru a čase.
Available at various institutes of the ASCR
Souhrnná zpráva projektu LINE za rok 2023
Tato zpráva byla vytvořena řešitelským týmem Ústavu informatiky AV ČR, v.v.i. v Praze pro potřeby společnosti GasNet, s.r.o. na základě objednávky č. 4500028548. Ve zprávě jsou shrnuty výsledky ...
Etika AI: Přehled současné debaty v kontextu energetiky
Černý, David; Trčka, M.; Kolaříková, L.; Hvorecký, J.; Pelikán, Emil; Hříbek, T.; Novotný, D.; Wiedermann, Jiří
2023 - Czech
Available at various institutes of the ASCR
Etika AI: Přehled současné debaty v kontextu energetiky
DC 5.3 Odhady kovariancí odhadnutého pole koncentrací
Brabec, Marek; Malý, Marek; Malá, Ivana
2023 - Czech
BIBLIOGRAFICKÉ ÚDAJE: Výzkumná zpráva č. SS02030031-V95. Praha: ICS CAS, 2023. 22 s. ANOTACE: Obsahem tohoto dokumentu je popis výsledku typu O: SS02030031-V95, Odhady kovariancí odhadnutého prostorového pole koncentrací. Jde o postup odhadu kovariančních parametrů jak samotného latentního Gaussovského prostorového pole, tak o odhad kovariance regresních parametrů v modelu. Dále též formulace modelu malého měřítka vybraného z dříve testovaných variant. Testování algoritmu optimalizace umístění stanic na předvybraném scénáři. Developing estimation of relevant covariance matrix entries for the spatial model as a necessary part for computing pointwise standard errors (as formalizations of local uncertainty for the gridded estimates). They, in turn are precursors for optimization algorithms aimed at measurement network design problems (location of added and/or deleted measurement points).
Keywords:
spatial estimation; covariances; uncertainty
Available at various institutes of the ASCR
DC 5.3 Odhady kovariancí odhadnutého pole koncentrací
BIBLIOGRAFICKÉ ÚDAJE: Výzkumná zpráva č. SS02030031-V95. Praha: ICS CAS, 2023. 22 s. ANOTACE: Obsahem tohoto dokumentu je popis výsledku typu O: SS02030031-V95, Odhady kovariancí odhadnutého ...
A Measure of Variability WIthin Parametric Families of Continuous Distributions
Fabián, Zdeněk
2022 - English
A continuous probability measure on an open interval of the real line induces in it a unique geometry, "center of gravity" of which is the typical value of the distribution. In the paper is identified a score variance as a finite measure of variability of distributions with respect to the typical value and discussed its properties and methods of estimation. Itroducing a generalized Rao distance in the sample space one can appraise the precision of the estimate of the typical value.
Keywords:
scalar-valued score; score mean; score variance; distance in the sample space
Available at various institutes of the ASCR
A Measure of Variability WIthin Parametric Families of Continuous Distributions
A continuous probability measure on an open interval of the real line induces in it a unique geometry, "center of gravity" of which is the typical value of the distribution. In the paper is identified ...
Score correlation for skewed distributions
Fabián, Zdeněk
2022 - English
Based on the new concept of the scalar-valued score function of continuous distributions we introduce the score correlation coefficient ”tai-lored” to the assumed probabilistic model and study its properties by means of simulation experiments. It appeared that the new correlation method is useful for enormously skewed distributions.
Keywords:
Scalar-valued score; score coefficient of variation; Monte Carlo
Available at various institutes of the ASCR
Score correlation for skewed distributions
Based on the new concept of the scalar-valued score function of continuous distributions we introduce the score correlation coefficient ”tai-lored” to the assumed probabilistic model and study its ...
Introduction to statistical inference based on scalar-valued scores
Fabián, Zdeněk
2022 - English
In the report we maintain consistently the following point of view: Given a continuous model, there are not the observed values, which are to be used in probabilistic and statistical considerations, but their ”treated forms”,the values of the scalar-valued score function corresponding to the model. Based on this modified concept of the score function, we develop theory of score random variables, study their geometry and define their new characteristics, finite even in cases of heavy-tailed models. A generalization for parametric families provides a new approach to parametric point estimation.
Keywords:
continuous distributions; score mean; score variance; score moment estimation method; score distance
Available at various institutes of the ASCR
Introduction to statistical inference based on scalar-valued scores
In the report we maintain consistently the following point of view: Given a continuous model, there are not the observed values, which are to be used in probabilistic and statistical considerations, ...
Scalar-Valued Score Functions and their use in Parametric Estimation
Fabián, Zdeněk
2022 - English
In the paper we describe and explain a new direction in probabilistic and statistical reasoning, the approach based on scalar-valued score functions of continuous random variables. We show basic properties of score functions of standard distributions, generalize the approach for parametric families and show how to use them for solutions of problems of parametric statistics.
Keywords:
core random variable; score mean; score variance; score distance; score correlation
Available on request at various institutes of the ASCR
Scalar-Valued Score Functions and their use in Parametric Estimation
In the paper we describe and explain a new direction in probabilistic and statistical reasoning, the approach based on scalar-valued score functions of continuous random variables. We show basic ...
A New Look to Information and Uncertainty of Continuous Distributions
Fabián, Zdeněk
2022 - English
We define information and uncertainty function of a family of continuous distributions. Their values are relative information and uncertainty of an observation from the given parametric family, their mean values are the generalized Fisher information and a new measure of variability, the score variance. In a series of examples we show why to use new concepts instead of the differential entropy.
Keywords:
Differential entropy; information function; uncertainty function; mean information of distribution
Available at various institutes of the ASCR
A New Look to Information and Uncertainty of Continuous Distributions
We define information and uncertainty function of a family of continuous distributions. Their values are relative information and uncertainty of an observation from the given parametric family, their ...
City simulation software for modeling, planning, and strategic assessment of territorial city units
Svítek, M.; Přibyl, O.; Vorel, J.; Garlík, B.; Resler, Jaroslav; Kozhevnikov, S.; Krč, Pavel; Geletič, Jan; Daniel, Milan; Dostál, R.; Janča, T.; Myška, V.; Aralkina, O.; Pereira, A. M.
2021 - English
SVÍTEK, M., PŘIBYL, O., VOREL, J., GARLÍK, B., RESLER, J., KOZHEVNIKOV, S., KRČ, P., GELETIČ, J., DANIEL, M., DOSTÁL, R., JANČA, T., MYŠKA, V., ARALKINA, O., PEREIRA, A. M. City simulation software for modeling, planning, and strategic assessment of territorial city units. 1.1. Prague: CTU & ICS CAS, 2021. Technical Report. ABSTRACT: The Smart Resilience City concept is a new vision of a city as a digital platform and eco-system of smart services where agents of people, things, documents, robots, and other entities can directly negotiate with each other on resource demand principals providing the best possible solution. It creates the smart environment making possible self-organization in sustainable or, when needed, resilient way of individuals, groups and the whole system objectives.
Keywords:
Smart city; City simulation; Energy resource-demand modelling; Environmental modelling; Synthetic population; Transport modelling
Available on request at various institutes of the ASCR
City simulation software for modeling, planning, and strategic assessment of territorial city units
SVÍTEK, M., PŘIBYL, O., VOREL, J., GARLÍK, B., RESLER, J., KOZHEVNIKOV, S., KRČ, P., GELETIČ, J., DANIEL, M., DOSTÁL, R., JANČA, T., MYŠKA, V., ARALKINA, O., PEREIRA, A. M. City simulation software ...
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